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Fourier-Walsh coefficients for a coalescing flow (discrete time)

Boris Tsirelson
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Abstract

A two-dimensional array of independent random signs produces coalescing random walks. The position of the walk, starting at the origin, after N steps is a highly nonlinear, noise sensitive function of the signs. A typical term of its Fourier-Walsh expansion involves the product of about square roof of N signs.

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Boris Tsirelson. 1999-03-12. Fourier-Walsh coefficients for a coalescing flow (discrete time). https://arxiv.org/abs/math/9903068

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